Introduction to Real Analysis

by Michael J. Schramm

This beautifully written text starts with proofs and sets in the first 40 pages and continues in the rest of Parts I and II to maintain an ongoing emphasis on the construction of proofs, demonstrating proper skills through detailed examples using the "forward-backward" method. *One of the texts greatest strengths are the problem sets, which are many and varied. *Offers a wide range of problem material guiding readers through large projects and allowing them to explore and develop interest in near research-level topics. *Presents the most abstract subject matter in terms that relate to students experience in calculus, rather than ignoring or downplaying the value of this experience. *Depicts the structure of the real number system as a collection of closely interrelated properties, rather than simply a list of theorems.

Genres: Mathematics

368 pages, Hardcover

First published August 1, 1995

Reviews

[Darin · Rating 4 out of 5]

If you prefer the theorem-proof approach of most math books, you won't like this book. This book does have theorems and proofs, but most of text consists of the author explaining why things work the way they do. This makes it great for seeing the big picture. I actually enjoyed reading the book.

Note that I believe (and follow) the meanings Goodreads gives for what each number of stars means. Therefore, the majority of my ratings are 3 stars ("liked it").

[Charles Paul · Rating 5 out of 5]

Best textbook I've ever read. Also the only textbook I've ever read that requires a flow chart to communicate what order to read the chapters in.

Really fostered and furthered my love of mathematics.